Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ca |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
1157625000000 = 26 · 33 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8458,-292088] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:48:1] |
Generators of the group modulo torsion |
j |
1560896/27 |
j-invariant |
L |
3.6932585146576 |
L(r)(E,1)/r! |
Ω |
0.49834959892224 |
Real period |
R |
3.7054895436859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000015933 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600ib1 117600id1 117600eb1 |
Quadratic twists by: -4 5 -7 |